Level 1: Core Concepts Check (Aiming for a Pass - 'S')

1. Define: What is meant by the "perimeter" of a plane figure?

2. State the Formula: Write down the formula for the arc length of a sector with radius and angle θ.

3. Identify: What are the parts that make up the perimeter of a sector?

4. Recall: A semi-circular arc is what fraction of a full circle's circumference?

5. Calculate: Find the arc length of a quarter-circle with a radius of 14 cm.

Level 2: Connecting the Dots (Aiming for a Credit - 'C'/'B')

1. Explain: Describe the steps you would take to calculate the perimeter of a shape made from a rectangle with a semi-circle attached to one of its sides.

2. Apply: A running track is formed by two straight sections of 80 m and two semi-circular ends with a radius of 35 m. Find the total length of one lap of the track.

3. Problem-Solve: The perimeter of a sector is 50 cm and its radius is 14 cm. Calculate the angle (θ) at its centre.

Level 3: Exam Challenge (Aiming for a Distinction - 'A')

Scenario Analysis: A flower bed is in the shape of a sector of a circle with a radius of 10.5 m. The perimeter of the flower bed is 43 m.

(a) Calculate the length of the arc of the sector.

(b) Find the angle at the centre (θ) of the sector.

(c) A fence with 3 strands of wire is to be put up around the flower bed's boundary. Calculate the total length of wire required.